Math 226 SI Midterm 2 Review

Evaluate the line integral for where c is parametrized

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Unformatted text preview: b. Evaluate the line integral ∫ ( ) for ) where C is parametrized by ( ) and ( ) 9. Calculate the work done on a particle that moves through a vector field of force described by the equation ( ) . The particle travels from the point (3,0) to (-3,0) along a half-circle of radius 3. Formulas: ……………………………… Dot product identity <a1,a2,a3>x<b1,b2,b3>=<a2b3-a3b2, a3b1-a1b3, a1b2-a2b1>…………………………… Cross product …………………………………………Cross product identity …………………………… equation of a line ( ) ( ) ( ) ( ) …………………… equation of a plane () () () () () ( ) ( ) ( ) ……………derivative of a vector …………………………………………………………………gradient vector ( If ) ( ( ) ) ( then ( ) is a critical point…………………………finding max/min () ( ) ………………………………………………second deri...
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